492160667004864 has 2240 divisors, whose sum is σ = 1866095308492800. Its totient is φ = 125963137843200.

The previous prime is 492160667004821. The next prime is 492160667004893. The reversal of 492160667004864 is 468400766061294.

It is a happy number.

492160667004864 is a `hidden beast` number, since 4 + 9 + 21 + 6 + 0 + 66 + 70 + 0 + 486 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 330531004632 + ... + 330531006120.

It is an arithmetic number, because the mean of its divisors is an integer number (833078262720).

Almost surely, 2^{492160667004864} is an apocalyptic number.

492160667004864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492160667004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933047654246400).

492160667004864 is an abundant number, since it is smaller than the sum of its proper divisors (1373934641487936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

492160667004864 is a wasteful number, since it uses less digits than its factorization.

492160667004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 492160667004864 in words is "four hundred ninety-two trillion, one hundred sixty billion, six hundred sixty-seven million, four thousand, eight hundred sixty-four".